Qualitatively, all solution branches behave in a similar way.
A sample case is depicted in Figure REF , showcasing the main features.
The lower branches emanating from the neutral curve are all unstable until reaching their respective saddle-node points, labeled by a variety of symbols in Figure REF  (circle for our sample branch in Figure REF ), with the corresponding states shown in Figure REF . Points on the (unstable) lower branches are found to be edge states which are attracting states on a codimension-1 manifold separating two different basins of attraction [1]}, [2]}, [3]}. This is illustrated by Figure REF  (right) at \(Wi=20\)  and \(Re=60\)  where an edge-tracking procedure, applied between the upper branch and laminar states, converges on the lower branch state. The lower branch state is a saddle but with only one unstable direction either pointing to the laminar or upper branch state. Upper branch states, at least \(Re = 60\)  [4]}, start as stable nodes as \(Wi\)  increases away from \(Wi_{sn}\)  but quickly experience Hopf bifurcations to tertiary states (if the base state is the `primary'). These bifurcations and where these tertiary states lead are interesting questions beyond the scope of this manuscript.
